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If your alignments are strong, you can break through them consciously and it will look intentional. The trick is you cannot be timid about breaking the alignment - either do it all the way or don't do it. Don't be a wimp.

Even though that inset piece is breaking into the text block, can you see where it is aligned on the left? It is possible to sometimes break completely free of any alignment, if you do it consciously.

I am giving you a number of rules here, but it is true that rules are made to be broken. But remember the big Rule about Breaking Rules: You must know what the rule is before you can break it.